619820874581328 has 240 divisors, whose sum is σ = 2046495402704896. Its totient is φ = 171370445057280.

The previous prime is 619820874581323. The next prime is 619820874581347. The reversal of 619820874581328 is 823185478028916.

619820874581328 is a `hidden beast` number, since 6 + 1 + 9 + 8 + 2 + 0 + 8 + 7 + 4 + 581 + 32 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (619820874581323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 635315625 + ... + 636290487.

It is a 1-persistent number, because it is pandigital, but 2⋅619820874581328 = 1239641749162656 is not.

Almost surely, 2^{619820874581328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 619820874581328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023247701352448).

619820874581328 is an abundant number, since it is smaller than the sum of its proper divisors (1426674528123568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

619820874581328 is a wasteful number, since it uses less digits than its factorization.

619820874581328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995262 (or 995253 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 72.

The spelling of 619820874581328 in words is "six hundred nineteen trillion, eight hundred twenty billion, eight hundred seventy-four million, five hundred eighty-one thousand, three hundred twenty-eight".